If angle C of triangle ABC is `90^0,` then prove that `tanA+tanB=(c^2)/(a b)` (where, `a , b , c ,` are sides opposite to angles `A , B , C ,` respectively).

In a triangle A B C ,/_C=pi/2dot If tan(A/2)a n dtan(B/2) are the roots of the equation a x^2+b x+c=0,(a!=0), then the value of (a+b)/c (where a , b , c , are sides of opposite to angles A , B , C , respectively) is

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is

Let ABC is be a fixed triangle and P be veriable point in the plane of triangle ABC. Suppose a,b,c are lengths of sides BC,CA,AB opposite to angles A,B,C, respectively. If a(PA)^(2) +b(PB)^(2)+c(PC)^(2) is minimum, then point P with respect to DeltaABC is

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

In a triangle ABC, C = 90^@ , then the equation whose roots are tanA, tanB is

If an a triangle A B C , b=3 c, a n d C-B=90^0, then find the value of tanB

Prove that in A B C ,tanA+tanB+tanCgeq3sqrt(3,) where A , B , C are acute angles.

Prove that a^(2)+ b^(2) +c^(2) +2abclt2, where a,b,c are the sides of triangle ABC such that a+b+c=2.

In any Delta ABC,angleB=90^(@) , prove that "tan"(A)/(2)=sqrt((b-c)/(b+c))

If the angle A,B,C of a Delta ABC are in A.P then :-